Question

the price of sugar has rises by 20%.by how much percent must a housewife reduce her consumption of sugar so as not to increase her expenditure on it

Answer 1

Hey there!!

If the price of a commodity increases by R%, then the reduction in consumption so as not to increase the expenditure is 

$( \frac{r}{100 + r} \times 100)\%$

Here R% = 20 %
Hence % decrease in the consumption of sugar

$( \frac{20}{100 +20} \times 100)\% \\ = > ( \frac{20}{120} \times 100)\% \\ = > \frac{100}{6} \%$

=> 16.66%
Hope this helps u!!!